The function ${\sin ^2}\left( {\omega t} \right)$ represents

Question

a periodic, but not $SHM$ with a period ${\pi \over \omega }$

a periodic, but not $SHM$ with a period ${{2\pi } \over \omega }$

a $SHM$ with a period ${\pi \over \omega }$

a $SHM$ with a period ${{2\pi } \over \omega }$

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